I think the 597 would work for you if you didnt mind spending a few extra $$ on after market components to make it work better......
Personally I think the 22WMR is a bit soft for coyotes......Id keep shots under 30 yards on them. Yotes can be a bit tough at times, and I have seen em stand up after a chest shot from a 25.06.
For myself I have always considered the 22wmr to pricey to be a good small animal round......You would(I think) also get better performance from a 17HMR. Thogh they are pricey to shoot as well.......For an in between round fro the 22-250 and the 22LR I would go with a .222 or .223.
Rabbit and crow would definitely reap the whirlwind with a 22 mag or 17hmr
